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Multiple positivity and the Riemann zeta-function

Olga M. Katkova
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Abstract

In the paper it is discussed the relations of the Riemann $ζ-$function to classes of generating functions of multiply positive sequences according to Schoenberg (also called Pólya frequency sequences). Key words: multiply positive sequences, totally positive sequences, Pólya frequency sequences, Laguerre-Pólya class, Riemann $ζ-$function.

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Olga M. Katkova. 2005-05-10. Multiple positivity and the Riemann zeta-function. https://arxiv.org/abs/math/0505174

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